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arXiv 0708.2389hep-thhep-phnucl-th
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规范线性西格玛模型中非零温矢量和轴矢量介子

Vector and axialvector mesons at nonzero temperature within a gauged linear sigma model

Stefan Strüber, Dirk H. Rischke

摘要:

本文在具有手征$U(N_f)_R \times U(N_f)_L$对称性的规范线性西格玛模型框架下研究矢量介子和轴矢量介子。对于$N_f=2$,我们通过求解一个耦合的Dyson-Schwinger方程组来研究手征凝聚体和介子质量随温度的变化.我们发现矢量介子和轴矢量介子的加入使手征跃迁变得尖锐。在我们的近似方案,质量的$ρ$介子增加了约100兆电子伏的手征过渡。

英文摘要:

We consider vector and axialvector mesons in the framework of a gauged linear sigma model with chiral $U(N_f)_R \times U(N_f)_L$ symmetry. For $N_f=2$, we investigate the behavior of the chiral condensate and the meson masses as a function of temperature by solving a system of coupled Dyson-Schwinger equations derived via the 2PI formalism in double-bubble approximation. We find that the inclusion of vector and axialvector mesons tends to sharpen the chiral transition. Within our approximation scheme, the mass of the $ρ$ meson increases by about 100 MeV towards the chiral transition.

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